The mean proportional between 9 and 16 is .

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Solution

The correct option is B 12
Let the mean proportional between 9 and 16 be $x$ .
$\Rightarrow$ 4: $x$ :: $x$ : 16
$\frac{9}{x}$ = $\frac{x}{16}$
$x^{2} = 16 \times 9 = 144$
$x = \sqrt{1} 44$
$\Rightarrow$ $x = 12$

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